The nonlinear free vibration of laminated composite cylindrical shell panels in the presence of cutouts is investigated. The finite element model using an eight-noded C0 continuity, isoparametric quadrilateral element is used to study the dynamic behavior. The nonlinear eigenvalue problem is solved by using the direct iteration method. Parametric study is carried out varying the aspect ratios, lamination schemes and material properties of cylindrical shell with simply supported boundary condition in the presence of cutouts.
Chia, C.Y. (1980). Nonlinear Analysis of Plates, McGraw Hill, New York, USA.
2.
Sathyamoorthy, M. (1987). Nonlinear Vibration Analysis of Plates: A Review and Survey of Current Developments, Applied Mechanical Review, 40: 1553—1561.
3.
Chia, C.Y. (1988). Geometrically Nonlinear Behavior of Composite Plates: A Review, Applied Mechanical Review, 41: 439—451.
4.
Alhazza, K.A. and Alhazza, A.A. (2004). A Review of the Vibrations of Plates and Shells, The Shock and Vibration Digest, 36(5): 377—395.
5.
Kanaka Raju, K. and Hinton, E. (1980). Nonlinear Vibrations of Thick Plates using Mindlin Plate Elements, International Journal for Numerical Methods in Engineering, 16: 247—257.
6.
Reddy, J.N. and Chao, W.C. (1981). Large Deflection and Large Amplitude free Vibrations of Laminated Composite Material Plates, Computers & Structures , 13: 341—347.
7.
Reddy, J.N. and Chao, W.C. (1982). Nonlinear Oscillations of Laminated Anisotropic Rectangular Plates, Journal of Applied Mechanics, 49: 396—402.
8.
Ganapathi, M. , Varadan, T.K. and Sarma, B.S. (1991). Nonlinear Flexural Vibrations of Laminated Orthotropic Plates, Computers & Structures, 3: 685—688.
9.
Kant, T. and Kommineni, J.R. (1994). Large Amplitude Free Vibration Analysis of Cross-ply Composite and Sandwich Laminates with a Refined Theory and C0 finite elements , Computers & Structures, 50: 123—134.
10.
Reddy, J.N. (1982). Large Amplitude Flexural Vibration of Layered Composite Plates with Cutouts, Journal of Sound and Vibration, 83: 1—10.
11.
Sivakumar, K., Iyengar, N.G.R. and Deb, K. (1999). Free Vibration of Laminated Composite Plates with Cutout, Journal of Sound and Vibration , 221: 443—470.
Sathyamoorthy, M. (1994). Vibrations of Moderately Thick Shallow Spherical Shells at Large Amplitudes, Journal of Sound and Vibration, 172: 63—70.
15.
Sathyamoorthy, M. (1995). Nonlinear Vibration of Moderately Thick Orthotropic Shallow Spherical Shells, Computers & Structures, 57: 59—65.
16.
Ganapathi, M. and Varadan, T.K. (1995). Nonlinear Free Flexural Vibrations of Laminated Circular Cylindrical Shells, Composite Structures, 30: 33—49.
17.
Shin, D.K. (1997). Large Amplitude Free Vibration Behavior of Doubly Curved Shallow Open Shells with Simply Supported Edges, Computers & Structures, 62: 35—49.
18.
Naidu, N.V.S. and Sinha, P.K. (2007). Nonlinear Free Vibration Analysis of Laminated Composite Shells in Hygrothermal Environments, Composite Structures, 77: 475—483.
19.
Reddy, J.N. (1984). Exact Solutions of Moderately Thick Laminated Shells, Journal of Engineering Mechanics, 110: 794—809.
20.
Sanders, J.L. (1959). An Improved First Approximation Theory for Thin Shells, NASA, TR-24.
21.
Jones, R.M. (1975). Mechanics of Composite Materials, McGraw Hill, New York.
22.
Bathe, K.J. (1975). Finite Element Formulations for Large Deformation Dynamic Analysis, International Journal for Numerical Methods in Engineering, 9: 353—386.
23.
Chen, J.K. and Sun, C.T. (1985). Dynamic Large Deflection Response of Composite Laminates Subjected to Impact, Composite Structures, 4: 59—73.
24.
Rajasekaran, S. and Murry, D.W. (1973). Incremental Finite Element Matrices, Journal of Structural Division, 99(ST12): 2423—2438.
25.
Wood, R.D. and Schrefler, B. (1978). Geometrically Nonlinear Analysis: A Correlation of Finite Element Notations, International Journal for Numerical Methods in Engineering, 12: 635—642.
26.
Chakravorty, D., Sinha, P.K. and Bandyopadhyay , J.N. (1998). Applications of FEM on Free and Forced Vibration of Laminated Shells, Journal of Engineering Mechanics, 124: 1—8.